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Finding the Third Proportional to 1,997.72 and 3,024.28

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Solution

The third proportional to 1,997.72 and 3,024.28 is: 4,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.72 : 3,024.28 = 3,024.28 : x
  2. Step 2: Convert to fraction form
    1,997.72/3,024.28 = 3,024.28/x
  3. Step 3: Cross multiply
    1,997.72x = 3,024.28 × 3,024.28
  4. Step 4: Simplify right side
    1,997.72x = 9,146,277.08
  5. Step 5: Solve for x
    x = 9,146,277.08/1,997.72
  6. Step 6: Final answer
    x = 4,578.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.